General algebra
Factorisation
- The reverse process to expanding is called factorisation. In this case we are given an expression which is a sum of terms and we convert it to a product of two or more terms.
- Expressions may be factorised by removing factors common to two or more terms and then by grouping and if necessary regrouping.
- For example: \(
\newcommand{\eqncomment}[2]{\small{\text{ #2}} }
\newcommand{\ceqns}{\begin{array}{rcll}}
\newcommand{\ceqne}{\end{array}}
\)
\[
\ceqns
&& 3x+3x^2 \\
&=& 3\times x+2x\times x & \eqncomment{0.4}{where \(x\) is the common factor} \\
&=& x(3+2x)
\ceqne
\] - Another example of factorising:
2x^{3} +4x^{2}+6x = 2x(x^{2}+2x+3)
\end{eqnarray}
where \(2x\) is the common factor.
More info
- Factorising simple expressions (mathcentre)